Answer:
Let x represent the number of blueberry muffins [tex]x\geq 0[/tex]
Let y represent the number of bran muffins [tex]y\geq 0[/tex]
Tray of blueberry muffins: 1/3 cup of oil & 2 eggs
Tray of bran muffins: 1/2 cup of oil & 1 egg
Alan has 4 cups of oil and 12 eggs on hand.
He sells a tray of blueberry muffins for $12 each.
He sells a tray of bran muffins for $9 each.
[tex]\frac{x}{3}+\frac{y}{2}\leq 12[/tex]
The constraints for the problem are 4 cups of oil and 12 eggs.
Alan should not exceed 4 cups of oil and 12 eggs as it will create shortage. He should get the correct proportion of both the muffins to maximize his profit.
In equation form it is : [tex]\frac{x}{3}+\frac{y}{2}\leq 4[/tex]
